Arctangent Gradient Based Adaptive Algorithm for a Second-Order Adaptive IIR Notch Filter

2015 ◽  
Vol 781 ◽  
pp. 535-538
Author(s):  
Rachu Punchalard
Keyword(s):  
Adaptive Algorithm ◽  
Unbiased Estimator ◽  
Frequency Estimation ◽  
Notch Filter ◽  
Second Order ◽  
Filter Parameter ◽  
Adaptive Notch Filter ◽  
Slow Adaptation ◽  
Gradient Based

Frequency estimation based on adaptive notch filter is very attractive due to simplicity and economy. This paper presents an arctangent gradient (AG) based adaptive algorithm for a second-order constrained adaptive IIR notch filter (ANF). The motivation is to use an arctangent value of the gradient signal to adjust the filter parameter. It is revealed that for slow adaptation, the AG can be considered as an unbiased estimator. The quantitative simulations have been conducted to support the superior of the proposed AG algorithm.

Direct frequency estimation based adaptive algorithm for a second-order adaptive FIR notch filter

2008 ◽  
Vol 88 (2) ◽  
pp. 315-325 ◽  
Author(s):  
R. Punchalard ◽  
A. Lorsawatsiri ◽  
W. Loetwassana ◽  
J. Koseeyaporn ◽  
P. Wardkein ◽  
...  
Keyword(s):  
Adaptive Algorithm ◽  
Frequency Estimation ◽  
Notch Filter ◽  
Second Order ◽  
Adaptive Fir

scholarly journals A Novel Adaptive Frequency Estimation Algorithm Based on Interpolation FFT and Improved Adaptive Notch Filter

2017 ◽  
Vol 17 (1) ◽  
pp. 48-52 ◽  
Author(s):  
Ting-ao Shen ◽  
Hua-nan Li ◽  
Qi-xin Zhang ◽  
Ming Li
Keyword(s):  
Convergence Rate ◽  
High Frequency ◽  
Frequency Estimation ◽  
Notch Filter ◽  
Estimation Algorithm ◽  
Signal Frequency ◽  
Tracking Accuracy ◽  
Frequency Tracking ◽  
Adaptive Notch Filter ◽  
Fast Estimation

Abstract The convergence rate and the continuous tracking precision are two main problems of the existing adaptive notch filter (ANF) for frequency tracking. To solve the problems, the frequency is detected by interpolation FFT at first, which aims to overcome the convergence rate of the ANF. Then, referring to the idea of negative feedback, an evaluation factor is designed to monitor the ANF parameters and realize continuously high frequency tracking accuracy. According to the principle, a novel adaptive frequency estimation algorithm based on interpolation FFT and improved ANF is put forward. Its basic idea, specific measures and implementation steps are described in detail. The proposed algorithm obtains a fast estimation of the signal frequency, higher accuracy and better universality qualities. Simulation results verified the superiority and validity of the proposed algorithm when compared with original algorithms.

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